TSTP Solution File: SEU188+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:04:31 EDT 2023
% Result : Theorem 2.86s 1.14s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 93 ( 37 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 91 ( 35 ~; 35 |; 13 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn; 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f20,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f21,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f31,conjecture,
! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
=> empty_set = X0 ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f33,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f40,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f41,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f42]) ).
fof(f51,plain,
? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f52,plain,
? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f80,plain,
( ? [X0] :
( empty_set != X0
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) )
=> ( empty_set != sK13
& ( empty_set = relation_rng(sK13)
| empty_set = relation_dom(sK13) )
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( empty_set != sK13
& ( empty_set = relation_rng(sK13)
| empty_set = relation_dom(sK13) )
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f52,f80]) ).
fof(f99,plain,
empty(empty_set),
inference(cnf_transformation,[],[f19]) ).
fof(f101,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f102,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f116,plain,
relation(sK13),
inference(cnf_transformation,[],[f81]) ).
fof(f117,plain,
( empty_set = relation_rng(sK13)
| empty_set = relation_dom(sK13) ),
inference(cnf_transformation,[],[f81]) ).
fof(f118,plain,
empty_set != sK13,
inference(cnf_transformation,[],[f81]) ).
fof(f119,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_66,plain,
empty(empty_set),
inference(cnf_transformation,[],[f99]) ).
cnf(c_67,plain,
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_68,plain,
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_82,negated_conjecture,
empty_set != sK13,
inference(cnf_transformation,[],[f118]) ).
cnf(c_83,negated_conjecture,
( relation_dom(sK13) = empty_set
| relation_rng(sK13) = empty_set ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_84,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f116]) ).
cnf(c_85,plain,
( ~ empty(X0)
| X0 = empty_set ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_2657,plain,
( ~ relation(sK13)
| ~ empty(empty_set)
| relation_dom(sK13) = empty_set
| empty(sK13) ),
inference(superposition,[status(thm)],[c_83,c_68]) ).
cnf(c_2658,plain,
( relation_dom(sK13) = empty_set
| empty(sK13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2657,c_66,c_84]) ).
cnf(c_2685,plain,
( relation_dom(sK13) = empty_set
| empty_set = sK13 ),
inference(superposition,[status(thm)],[c_2658,c_85]) ).
cnf(c_2687,plain,
relation_dom(sK13) = empty_set,
inference(forward_subsumption_resolution,[status(thm)],[c_2685,c_82]) ).
cnf(c_2688,plain,
( ~ relation(sK13)
| ~ empty(empty_set)
| empty(sK13) ),
inference(superposition,[status(thm)],[c_2687,c_67]) ).
cnf(c_2691,plain,
empty(sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_2688,c_66,c_84]) ).
cnf(c_2693,plain,
empty_set = sK13,
inference(superposition,[status(thm)],[c_2691,c_85]) ).
cnf(c_2695,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2693,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 23 14:11:46 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.86/1.14 % SZS status Started for theBenchmark.p
% 2.86/1.14 % SZS status Theorem for theBenchmark.p
% 2.86/1.14
% 2.86/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.86/1.14
% 2.86/1.14 ------ iProver source info
% 2.86/1.14
% 2.86/1.14 git: date: 2023-05-31 18:12:56 +0000
% 2.86/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.86/1.14 git: non_committed_changes: false
% 2.86/1.14 git: last_make_outside_of_git: false
% 2.86/1.14
% 2.86/1.14 ------ Parsing...
% 2.86/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.86/1.14
% 2.86/1.14 ------ Preprocessing... sup_sim: 9 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 2.86/1.14
% 2.86/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.86/1.14
% 2.86/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.86/1.14 ------ Proving...
% 2.86/1.14 ------ Problem Properties
% 2.86/1.14
% 2.86/1.14
% 2.86/1.14 clauses 35
% 2.86/1.14 conjectures 3
% 2.86/1.14 EPR 15
% 2.86/1.14 Horn 30
% 2.86/1.14 unary 13
% 2.86/1.14 binary 10
% 2.86/1.14 lits 73
% 2.86/1.14 lits eq 11
% 2.86/1.14 fd_pure 0
% 2.86/1.14 fd_pseudo 0
% 2.86/1.14 fd_cond 2
% 2.86/1.14 fd_pseudo_cond 5
% 2.86/1.14 AC symbols 0
% 2.86/1.14
% 2.86/1.14 ------ Schedule dynamic 5 is on
% 2.86/1.14
% 2.86/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.86/1.14
% 2.86/1.14
% 2.86/1.14 ------
% 2.86/1.14 Current options:
% 2.86/1.14 ------
% 2.86/1.14
% 2.86/1.14
% 2.86/1.14
% 2.86/1.14
% 2.86/1.14 ------ Proving...
% 2.86/1.14
% 2.86/1.14
% 2.86/1.14 % SZS status Theorem for theBenchmark.p
% 2.86/1.14
% 2.86/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.86/1.14
% 2.86/1.14
%------------------------------------------------------------------------------